where \(M\)  denotes the messenger mass scale,
\(n_{5\bar{5}}\)  represents the number of \(\bar{5}+5\)  representation of \(SU(5)\)  for messengers.
We will use the updated pole mass of top quark \(m_{t}=174\)  GeV [1]}
instead of \(m_{t}=180\)  GeV in [2]} for our analysis,
and take the criteria that the theory enters into the non-perturbative region
when any of coupling constants in the theory is bigger than \(\sim 4\pi \) .
<FIGURE>